Abstract
In the current work, the Molodtsov’s idea of soft sets [14] is
applied on the theory of BCK-modules [1]. The aim here, is to introduce
the notion of soft BCK-modules and discuss its basic properties. In this
regard, three theorems for soft BCK-modules isomorphism are developed.
The notion of soft X−exactness of BCK-modules is introduced and its
relation with soft X−isomorphism is studied. A transitivity between two
soft X−exact sequences is also established.